Measure, Integration And Function Spaces / Swartz, Charles

Book Cover Measure, Integration And Function Spaces
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/ Swartz, Charles
Publisher: Wspc
Availability:In Stock.
Sales Rank: 5127844
ISBN-10: 9810216106
ISBN-13: 9789810216108


This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform.
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